Respuesta :

Gasaqui

Answer:

y=-9x-4

Step-by-step explanation:

Perpendicular lines meet the following condition:

m2*m1= -1 (a)

where m is the slope of a line

m1 is given through equation of line 1, y =1/9 x+2

m2 must be -9 -> from eq. (a)

The Line has the following equation: y=mx+b, where m=-9 and the b is the interception with y axis.

Evaluating the above equation in (-1,5) we have the following equation

5= -9*(-1)+b, we have b=-4

The line has the following equation

y=-9x-4

Slope intercept form

luisejr77

Answer:

[tex]y=-9x-4[/tex]

Step-by-step explanation:

The equation of a line has the following form:

[tex]y=mx+b[/tex]

Where m is the slope of the line and b is the intercept with the y axis.

If two lines of slopes m and n are perpendicular then it is true that:

[tex]m=-\frac{1}{n}[/tex]

For the line [tex]y =\frac{1}{9}x+2[/tex] the slope is: [tex]m=\frac{1}{9}[/tex]

So the slope of the perpendicular line is:

[tex]m=-\frac{1}{\frac{1}{9}}[/tex]

[tex]m=-9[/tex]

So the equation is:

[tex]y=-9x+b[/tex]

To find b we substitute the point in the equation and solve for b

[tex]5=-9(-1)+b[/tex]

[tex]b=5-9[/tex]

[tex]b=-4[/tex]

Then the equation of the line in the form of pending interception is:

[tex]y=-9x-4[/tex]

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